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I used to know a term for pair of pants, but perhaps there is none. It looks like this also.

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I was amused to find that the wikipedia page for "Trousers" does, in fact, have your wikipedia page as a disambiguation. –  Jeff Aug 1 '12 at 12:56

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You could call it a "pretzel", as shown on http://www.maths.ed.ac.uk/~aar/surgery/zeeman.pdf. I've also heard it called a "trophy".

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it don't looks like pretzel, maybe it homeomorphic to it. –  Alder Aug 1 '12 at 13:10
    
I guess there is no other name. –  Alder Aug 1 '12 at 13:13
    
I have also heard (and used) trinion, in some conformal field theory papers (we often manipulate Riemann surfaces in 2d CFT). –  Bruno Le Floch Aug 1 '12 at 13:37

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